Functional Analysis and Operator Algebras (Hardcover)

Kenneth R. Davidson

ISBN 10: 3031636643 / ISBN 13: 9783031636646

Published by Springer International Publishing AG, Cham, 2025

About this Item

Hardcover. This book offers a comprehensive introduction to various aspects of functional analysis and operator algebras.In Part I, readers will find the foundational material suitable for a one-semester course on functional analysis and linear operators. Additionally, Part I includes enrichment topics that provide flexibility for instructors.Part II covers the fundamentals of Banach algebras and C*-algebras, followed by more advanced material on C* and von Neumann algebras. This section is suitable for use in graduate courses, with instructors having the option to select specific topics.Part III explores a range of important topics in operator theory and operator algebras. These include $H^p$ spaces, isometries and Toeplitz operators, nest algebras, dilation theory, applications to various classes of nonself-adjoint operator algebras, and noncommutative convexity and Choquet theory. This material is suitable for graduate courses and learning seminars, offering instructors flexibility in selecting topics. This book offers a comprehensive introduction to various aspects of functional analysis and operator algebras.In Part I, readers will find the foundational material suitable for a one-semester course on functional analysis and linear operators. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9783031636646

Bibliographic Details

• Title: Functional Analysis and Operator Algebras (Hardcover)
• Publisher: Springer International Publishing AG, Cham
• Publication Date: 2025
• Language: English
• ISBN 10: 3031636643
• ISBN 13: 9783031636646
• Binding: Hardcover
• Condition: new

About this title

Synopsis

This book offers a comprehensive introduction to various aspects of functional analysis and operator algebras.

In Part I, readers will find the foundational material suitable for a one-semester course on functional analysis and linear operators. Additionally, Part I includes enrichment topics that provide flexibility for instructors.

Part II covers the fundamentals of Banach algebras and C*-algebras, followed by more advanced material on C* and von Neumann algebras. This section is suitable for use in graduate courses, with instructors having the option to select specific topics.

Part III explores a range of important topics in operator theory and operator algebras. These include $H^p$ spaces, isometries and Toeplitz operators, nest algebras, dilation theory, applications to various classes of nonself-adjoint operator algebras, and noncommutative convexity and Choquet theory. This material is suitable for graduate courses and learning seminars, offering instructors flexibility in selecting topics.